we are given angle as
[tex]\theta=\frac{17\pi}{6}[/tex]
we can write it as
[tex]\theta=\frac{12\pi+5\pi}{6}[/tex]
now, we can break it
[tex]\theta=\frac{12\pi}{6}+\frac{5\pi}{6}[/tex]
On simplifying
[tex]\theta=2\pi +\frac{5\pi}{6}[/tex]
we know all angles repeats itself after 2pi
so,
[tex]2\pi + \theta= \theta[/tex]
so, we get
[tex]\theta=\frac{5\pi}{6}[/tex]...............Answer
